id: 05601309
dt: j
an: 2009e.00511
au: Aktümen, Muharrem; Kabaca.Tolga
ti: Constructing the disk method formula for the volume obtained by revolving a
curve around an axis with the help of CAS.
so: Teach. Math. Comput. Sci. 5, No. 2, 363-376 (2007).
py: 2007
pu: ,
la: EN
cc: I55 D45 C75 R25
ut: Maple; Maplet; approximations; volume; definite integral; teaching-learning
processes;
ci:
li:
ab: Summary: Calculus concepts should have been taught in a carefully designed
learning environment, because these concepts constitute a very
important base for almost all applied sciences. The integral, one of
the fundamental concepts of Calculus, has a wide application area. This
paper focuses on constructing the disk method formula for the volume
obtained by revolving a curve around an axis with the help of a CAS. In
this study, a semi-structured interview was carried out. In this
interview, we tried to construct the disk method formula. The levels of
constructing the disk method formula in this study are: $\bullet$
Introducing the concept: evaluating the volume of an Egyptian pyramid.
$\bullet$ Evaluating the volume of a cone obtained by revolution (using
Maple worksheet). $\bullet$ Designing their own ring and evaluating its
price (using Maple). In this study, the interview has been presented as
a dialog between teacher and students. When we look at feedback from
students, we see that such a teaching method effects students in a
positive way and causes them to gain conceptual understanding directed
towards the concepts of approximation and volume.
rv: